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Finding the Fourth Proportional to 186.39, 257.27 and 142.65

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Solution

The fourth proportional to 186.39, 257.27 and 142.65 is: 196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186.39 : 257.27 = 142.65 : x
  2. Step 2: Convert to fraction form
    186.39/257.27 = 142.65/x
  3. Step 3: Cross multiply
    186.39x = 257.27 × 142.65
  4. Step 4: Simplify right side
    186.39x = 36,698.85
  5. Step 5: Solve for x
    x = 36,698.85/186.39
  6. Step 6: Final answer
    x = 196.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.